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Effectus [21]
3 years ago
15

A proper unbiased coin was tossed 10 times for 3 trials, giving TTHHTHTTHH, TTTTTHHHHH, and THTHHHTTH (T = Tails; H = Heads). Wh

at is the difference between the theoretical and experimental probabilities of getting heads?
Mathematics
2 answers:
nadya68 [22]3 years ago
5 0
Theoretical probability is what, theoretically, the probability <em>should </em>be, regardless of data. Because there are only two options, the probability for getting heads on each toss should be 50%. For the total thirty tosses, theoretically, the coin <em>should</em> land on heads fifteen times, or five per trial, which is determined solely on the number of options.

Experimental probability is what the probability was based on the given data. In the first trial, head was scored 5 times, or 5/10, or 50%. This was repeated in the second and third trials. So, based purely <em>on the data,</em> the probability of the coin landing on heads was also 50%.

I hope this helps!
~Chrys

PilotLPTM [1.2K]3 years ago
4 0

Answer:0.5

Step-by-step explanation:

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AB is parallel to CD.
kogti [31]

Answer:

Step-by-step explanation:

∠ABC = ∠BCD    { AB // CD; BC TRAVERSAL, alternate angles are equal}

∠ABC = 20

∠BCA = ∠BAC     {angles opposite to equal sides are equal}

∠BCA = ∠BAC = x

x + x + 20 = 180

2x = 180 - 20

2x = 160

x = 160/2

x = 80

6 0
3 years ago
Simplify <br> Rewrite the expression in the form z^n<br><br> z^5•z^6= ______
gtnhenbr [62]

Answer:

z²^30

Step-by-step explanation:

This is it enjoy.

4 0
3 years ago
36 first-graders and 14 other students attended a school assembly. What percentage of the students at the assembly were first-gr
dimaraw [331]

Answer: 18%

Step-by-step explanation: Add 36 + 14 = 50

Then 36*50/100=18

5 0
2 years ago
Surface Area of the pyramid
hichkok12 [17]

Answer:

C

Step-by-step explanation:

the total surface area of such a pyramid is the sum of 5 areas :

1 bottom square (8×8)

4 side triangles

the area of a triangle is

baseline × height / 2

now, we know the baseline of the 4 triangles, but what is their height (at least we know, all 4 have the same height, as the pyramid is totally regular) ?

the height of the side triangles is the slant height of the pyramid (the distance from the middle of a sideline to the top of the pyramid).

we get this by imagining a right-angled triangle inside the pyramid :

one leg is the inner height of the pyramid.

the second leg is the connection on the bottom square from the base of the inner height to the middle point of a sideline). this is half the length of a sideline.

and the baseline (Hypotenuse) is the slant height of the pyramid.

we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse (side opposite of the 90° angle).

slant height² = 7² + (8/2)² = 49 + 4² = 49 + 16 = 65

slant height = sqrt(65) = 8.062257748... in

so, we get a areas

bottom square = 8×8 = 64 in²

a side triangle = 8×sqrt(65)/2 = 4×sqrt(65) =

= 32.24903099... in²

all 4 side triangles = 4×32.24903099... =

= 128.996124... in²

and we get as total surface area

64 + 128.996124... = 192.996124... in² ≈ 193.00 in²

8 0
1 year ago
What is the LCM of 13, 29,and 21
WITCHER [35]
The LCM this question is 13 and 29
5 0
3 years ago
Read 2 more answers
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